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Finding the Third Proportional to 294,447,703.50 and 619,355,997

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Solution

The third proportional to 294,447,703.50 and 619,355,997 is: 1,302,784,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,447,703.50 : 619,355,997 = 619,355,997 : x
  2. Step 2: Convert to fraction form
    294,447,703.50/619,355,997 = 619,355,997/x
  3. Step 3: Cross multiply
    294,447,703.50x = 619,355,997 × 619,355,997
  4. Step 4: Simplify right side
    294,447,703.50x = 383,601,851,019,864,000
  5. Step 5: Solve for x
    x = 383,601,851,019,864,000/294,447,703.50
  6. Step 6: Final answer
    x = 1,302,784,319.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.